Details

analyze201.0ms (10%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample20.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

simplify168.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	5541	8

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.3b	(*.f64 x (log.f64 y))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`associate--l+_binary64`
18×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`pow1_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`diff-log_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series31.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
10.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
9.0ms	(*.f64 x (log.f64 y))

simplify55.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4941	594
1	4941	594

prune94.0ms (4.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series88.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
24.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
20.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify32.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5011	480

prune100.0ms (5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	78	5	83

Merged error: 0b

Counts

83 → 5

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64`
12×	`sqrt-prod_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
4.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series62.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
14.0ms	(cbrt.f64 (sqrt.f64 y))
14.0ms	(cbrt.f64 (sqrt.f64 y))
11.0ms	(*.f64 (log.f64 y) 2/3)

simplify29.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5180	743

prune116.0ms (5.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize17.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

series78.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 x)

simplify36.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4923	212
1	4923	212

prune63.0ms (3.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Merged error: 0b

Counts

61 → 5

regimes243.0ms (12%)

Accuracy

Total 0.1b remaining (83%)

Threshold costs 0.1b (83%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms (0%)

sample475.0ms (23.6%)

Algorithm

1×

intervals

Results

303.0ms	7997×	body	80	valid
1.0ms	31×	body	80	invalid
1.0ms	40×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze201.0ms (10%)

sample20.0ms (1%)

simplify168.0ms (8.3%)

prune6.0ms (0.3%)

localize7.0ms (0.3%)

rewrite20.0ms (1%)

series31.0ms (1.5%)

simplify55.0ms (2.7%)

prune94.0ms (4.7%)

localize12.0ms (0.6%)

rewrite21.0ms (1%)

series88.0ms (4.4%)

simplify32.0ms (1.6%)

prune100.0ms (5%)

localize16.0ms (0.8%)

rewrite17.0ms (0.8%)

series62.0ms (3.1%)

simplify29.0ms (1.4%)

prune116.0ms (5.8%)

localize17.0ms (0.9%)

rewrite6.0ms (0.3%)

series78.0ms (3.9%)

simplify36.0ms (1.8%)

prune63.0ms (3.1%)

regimes243.0ms (12%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample475.0ms (23.6%)

Profiling